I already did the first and third question I just need some one to make it clear to me what he is asking for question 2. Hint anyone please thanks.

What is the difference between a combination and a permutation?

What clues are provided in a question to help you decide?

Make one of the questions a combination and the other a permutation

can some one please help me...

Question 2 is asking what clues can be found in a problem or question that help you determine whether you need to use a combination or a permutation to solve it.

To understand the difference between a combination and a permutation, let's first define them:

- Combination: A combination is a selection of items where the order does not matter. For example, if you have 5 different books on a shelf and you want to choose 2 of them to read, the combination would count both "Book A then Book B" and "Book B then Book A" as the same selection.

- Permutation: A permutation is an arrangement of items where the order matters. Using the same example of the books, if you wanted to arrange the 5 books on a shelf, the order in which you place them would result in different permutations.

Now, when faced with a problem or question, there are some clues that can help you determine if you need to use a combination or a permutation:

1. Does the order of the items matter? If the question specifies the order, such as "Arrange these letters to form a word," or "What is the order of finish for a race?", it indicates a permutation should be used.

2. Are repetitions allowed? If the question allows duplicates or repetitions in the selection, it suggests a combination is needed. For example, "Choose a group of 3 students to represent the class," where a student can be chosen more than once.

3. Are all the items distinct or identical? If the items are distinct, meaning they can be told apart, it usually indicates a permutation. If the items are identical, such as selecting balls of the same color from a bag, it usually suggests a combination.

By considering these clues in a question, you can better determine whether a combination or a permutation is required to solve the problem.

As for making one of the questions a combination and the other a permutation, here are examples:

Combination Question: "How many different combinations of toppings can be made on a pizza if there are 6 available toppings and you can choose any 3?"

Permutation Question: "In a school talent show with 7 participants, how many different ways can the top 3 places be awarded?"

In the combination question, the word "combinations" implies that the order does not matter when choosing the toppings. In the permutation question, the words "different ways" and "awarded" indicate that the order does matter when determining the top 3 places.